Average Error: 6.2 → 1.7
Time: 3.9s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a) {
	return ((double) (x - ((double) (((double) (y * ((double) (z - t)))) / a))));
}
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if (((((double) (y * ((double) (z - t)))) <= -3.2693457479729176e+124) || !(((double) (y * ((double) (z - t)))) <= -1.2588552329175415e-154))) {
		VAR = ((double) (x + ((double) (((double) (y / a)) * ((double) (t - z))))));
	} else {
		VAR = ((double) (x + ((double) (((double) (y * ((double) (z - t)))) * ((double) (-1.0 / a))))));
	}
	return VAR;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original6.2
Target0.8
Herbie1.7
\[\]

Derivation

  1. Split input into 2 regimes
  2. if (* y (- z t)) < -3.2693457479729176e124 or -1.2588552329175415e-154 < (* y (- z t))

    1. Initial program 8.2

      \[\]
    2. Using strategy rm
    3. Applied sub-neg8.2

      \[\leadsto \]
    4. Simplified2.3

      \[\leadsto \]

    if -3.2693457479729176e124 < (* y (- z t)) < -1.2588552329175415e-154

    1. Initial program 0.1

      \[\]
    2. Using strategy rm
    3. Applied div-inv0.2

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.7

    \[\leadsto \]

Reproduce

herbie shell --seed 2020190 
(FPCore (x y z t a)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, F"
  :precision binary64

  :herbie-target
  (if (< y -1.0761266216389975e-10) (- x (/ 1.0 (/ (/ a (- z t)) y))) (if (< y 2.894426862792089e-49) (- x (/ (* y (- z t)) a)) (- x (/ y (/ a (- z t))))))

  (- x (/ (* y (- z t)) a)))